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    Equilibrium

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    Vector polygon to solve for the forces on a block in equilibrium on a plane.

    A block whose weight is W= 250 nt is on a frictionless plane which is at angle q= 25 degrees. A cable between the ceiling and the block makes an angle q=55 degrees from the ceiling. See ATTACHMENT1 for a diagram with given parameters, angles, physics statements, and a polygon created from known information. Also an illustration

    A spring and its force constant

    A spring whose force constant k= 84 nt/m is suspended by one end from a support. The unstressed spring's length is .66 m. Find the length of the spring when a mass of M= 12 kg is suspended from the lower end, in equilibrium.

    Simple Harmonic Motion Mass Hanging Spring.

    A certain spring with its upper end attached to a ceiling and nothing attached to its lower end has a length s= .6 m. When a mass M= 2.0 kg is attached to hang from its lower end the spring then has a length h= .80 m. See ATTACHMENT for a diagram showing parameters. The mass is raised .15 m above equilibrium point and releas

    Equilibrium Condition Functions

    A container is partitioned by a porous, fixed, wall. Because the wall is porous, it allows particles to diffusive from one side to the other (note that by 'diffuse' I mean that there are tiny holes in the wall which allow the gas particles to make it through; there is not some big gaping hole). The wall also allows the flow of

    Speed of Blocks on an Incline

    A block, mass = m1, lies on an incline of angle theta, and is connected to a second block of mass m2=3/2 m by a string that passes over a light frictionless pulley. The second block hangs vertically and is firmly attached to a spring that has negligible mass and a force constant of k. The opposite end of the spring is firmly a

    Equilibrium and Center of Mass

    In Fig. 13-11, a horizontal scaffold, of length 2.00 m and uniform mass 50 kg, is suspended from a building by two cables. It has dozens of paint cans stacked on it at various points. The total mass of the paint cans is 77.0 kg. The tension in the cable at the right is 735 N. How far horizontally from that cable is the center of

    Finding Tension and Horizontal and Vertical Components of Force

    The system in Fig. 13-37 is in equilibrium. A concrete block of mass m = 236 kg hangs from the end of the uniform strut whose mass is 46.5 kg. (Please see attachment). (a) Find the tension T in the cable. (b) Find the horizontal component of the force exerted on the strut by the hinge. (c) Find the vertical component of the

    Archimedes Principle and Equilibrium Applied to an Object

    An object is suspended from the bottom end of a spring. With the object in air, the spring exerts upward force Wa= 30 nt. With the object immersed in water, the spring exerts upward force Ww= 20 nt. With the object immersed in Liquid X, the spring exerts upward force Wx= 24 nt. See ATTACHMENT for a diagram. Find the density of

    Equilibrium/torque

    Hi. I need some help with a conceptual question. "A uniform 1-meter stick that is supported by a fulcrum at the 25-cm mark is in equilibrium when a 1-kg rock is suspended at the 0 cm end. Is the mass of the meter stick greater than, equal to, or less than the mass of the rock?" I thought the answer would be that the mass o

    Finding the Density of a Block and Oil

    A block of wood floats in fresh water with forty percent of its volume submerged. This block floats in oil with 93 percent of its volume submerged. (a) Find Db, the density of the block. (b) Find Do, the density of the oil.

    Buoyant Force on an Object Submerged in a Liquid in Equilibrium

    See attached file. To hold up a certain stationary iron anchor in air takes 200 newtons more than when it is submerged in fresh water. The density of iron is Di=7870 kg/m^3, and by definition, the density of fresh water is Dw=1000 kg/m^3. Find the weight W, of the anchor in air.

    Torques in equilibrium on a leaning ladder.

    A uniform bar of length L= 8 m, whose weight is 420 nt is placed into a totally frictionless, open top box in the shape of a cube whose sides are length s= 4m. Its bottom end is at a lower corner and it extends over the opposite top edge. See ATTACHMENT for a diagram with dimensions. Find P, the force the top edge exerts again

    Torques on a boom in equilibrium.

    A uniform boom is at an angle of 45 degrees from the ground. It is held in place by a frictionless pin at ground level. Weight A= 2230 nt is suspended from its upper end and the boom's weight B= 441 nt. A cable from its upper end to ground level makes angle 30 degrees with the ground. See ATTACHMENT for a diagram. Find T, the t

    A door in equilibrium requiring application of net torque equal to zero.

    A uniform, rectangular door 2.2 m high and 2.4 m wide having a weight of 260 nt is supported by two hinges. One hinge is .30 m from the top corner and the other is .30 m from the bottom corner. Each hinge supports half the total weight of the door. See door ATTACHMENT for a diagram. Find the magnitude of the total force exert

    Finding the equilibrium temperature of the tin-water mixture

    A pan of water is heated from 23 C to 78 C. What is the change in its temperature on the kelvin and fahrenheit scales? A 0.225 kg sample of tin initially at 97.5 C is dropped into 0.115 kg of water initially at 10.0 C. If the specific heat capacity of tin is 230 J/kg *C (its a dot before "C" but im not exactly sure how t

    Spring supporting two blocks without friction

    A 0.7 lb block rests on top of a 0.5 lb block supported by but not attached to a spring of constant 9 lb/ft. The upper block is sudenly removed. A) Determine the maximum velocity reached by the 0.5 lb mass B) the maximum height reached by the 0.5 lb mass Please see attachment

    Machines and Mechanics

    1. A 0.100 kg meterstick is supported at its 40.0 cm mark by a string attached to the ceiling. A 0.700 kg mass hangs vertically from the 5.00 cm mark. A mass is attached somewhere on the meterstick to keep it horizontal and in both rotational and translational equilibrium. If the force applied by the string attaching the meterst

    Rotational equilibrium

    I am trying to help my brother (in high school) understand how to solve rotational equilibrium problems. What he needs is an explanation on how to approach these problems. I understand each problem is different, but I imagine there must be a general method for solving them. I have put a problem below so that hopefully you could

    Rigid Objects in Equilibrium, Center of Gravity

    A lunch tray is being held in one hand. The mass of the tray itself is 0.200 kg, and its center of gravity is located at its geometrical center. On the tray is a 1.00-kg plate of food and a 0.250-kg cup of coffee. Obtain the force T exerted by the thumb and the force F exerted by the four fingers, Both forces act perpendicular t

    Tension - Equilibrium and Elasticity: Five problems

    The graphs are attached in word document. 1. The system in the picture is in equilibruim with the string in the center exactly horizontal. Find (a) tension T 1 , (b) tension T 2 (c) tension T 3 (d) angel pheta 2. The system in the picture is in equilibrium. A concrete block of mass 225 kg hanfs from the end of the unif

    Simple harmonic motion of a mass on a spring

    On a frictionless table, a spring whose force constant is 60 nt/m has one end fixed and the other attached to mass M= 3.9 kg. A cord connects mass M to a suspended rock whose mass is m= 3.2 kg. Assume an x axis origin at the movable end of the spring when the spring contains no potential energy. At some instant, with the system

    Fluid Mechanics: bouyance, harmonic motion, period

    Consider an object with height h, mass M, and uniform cross sectional area A floating upright in a liquid with density p. a.) Calculate the vertical distance from the surface of the liquid to the bottom of the floating object at equilibrium. b.) A downward force of magnitude F is applied to the top of the object. At the

    Equilibrium of a Rigid Body

    One end of a post weighing 500N and with height h rests on a rough horizontal surface coefficient of static friction equal to .40. The upper end is held by a rope fastened to the surface and making an angle of 37 degrees with the post (see attached figure). A horizontal force F is exerted on the post as show in the attached diag

    Coefficient of friction and tension: maximum value of M before

    See attached diagram. Q. A 10 kg block on a table for which the coefficient of friction is 0.4 is connected to a knot K by a horizontal string. Another block of mass M hangs from point K and the string makes a 30 degree with the horizontal goes upward to a fixed wall. a. What maximum value can M be before block A starts t

    Speed of object in revolutions around a circle: puck of mass tied to a string

    A puck of mass 0.270 kg is tied to a string and allowed to revolve in a circle of radius 1.09 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of 1.24 kg is tied to it (see figure in attached Word file). The suspended mass remains in equilibrium while